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A boy of mass m stands at the edge of a ...

A boy of mass m stands at the edge of a uniform disc of mass M and radius R rotating at angular frequency `omega` about an axis passing through its center and perpendicular to its plane. The boy walks towards the center of the disc and stops when he is at a distance r from the center of the disc. If friction is neglected and r=R/2 and M=10 m, the angular frequency will be :

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